Shear banding and interfacial instability in planar Poiseuille flow

Journal of Non-Newtonian Fluid Mechanics

Volumn 165, Issue 5-6, 2010, Pages 196-202

  Fielding, Suzanne M ^a   Wilson, Helen J ^b  

^a DURHAM UNIVERSITY   (United Kingdom)

^b UNIVERSITY COLLEGE LONDON   (United Kingdom)

Author keywords

Interfacial instability; Poiseuille flow; Shear banding

Indexed keywords

FLAT INTERFACE; INTERFACIAL INSTABILITY; MICROFLUIDIC CHANNEL; PLANAR GEOMETRIES; POISEUILLE FLOW; PRESSURE-DRIVEN; SHEAR BANDING; SHEAR-BANDED FLOW; THEORETICAL STUDY; UNSTABLE MODES; WAVE VECTOR;

FLOW PATTERNS;

STABILITY;

EID: 77049096705     PISSN: 03770257     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jnnfm.2009.12.001     Document Type: Article

References (66)

1. Spenley N.A., Cates M.E., and McLeish T.C.B. Nonlinear rheology of wormlike micelles. Phys. Rev. Lett. 71 (1993) 939-942
2. Spenley N.A., Yuan X.F., and Cates M.E. Nonmonotonic constitutive laws and the formation of shear-banded flows. J. Phys. II (France) 6 (1996) 551-571
3. Yerushalmi J., Katz S., and Shinnar R. Chem. Eng. Sci. 25 (1970) 1891
4. Rehage H., and Hoffmann H. Viscoelastic surfactant solutions: model systems for rheological research. Mol. Phys. 74 (1991) 933
5. Decruppe J.P., Cressely R., Makhloufi R., and Cappelaere E. Flow birefringence experiments showing a shear-banding structure in a ctab solution. Coll. Polym. Sci. 273 4 (1995) 346-351
6. Britton M.M., and Callaghan P.T. Two-phase shear band structures at uniform stress. Phys. Rev. Lett. 78 (1997) 4930-4933
7. Callaghan P.T.. Rheo NMR and shear banding. Rheol. Acta 47 (2008) 243-255
8. Becu L., Manneville S., and Colin A. Spatiotemporal dynamics of wormlike micelles under shear. Phys. Rev. Lett. 93 1 (2004) art. no. 018301
9. Manneville S. Recent experimental probes of shear banding. Rheol. Acta 47 (Apr 2008) 301-318
10. Salmon J.B., Colin A., Manneville S., and Molino F. Velocity profiles in shear-banding wormlike micelles. Phys. Rev. Lett. 90 22 (2003) art. no. 228303
11. Hu Y.T., and Lips A. Kinetics and mechanism of shear banding in an entangled micellar solution. J. Rheol. 49 (2005) 1001-1027
12. Berret J.F., Roux D.C., and Porte G. Isotropic-to-nematic transition in wormlike micelles under shear. J. Phys. II (France) 4 8 (1994) 1261-1279
13. Callaghan P.T., Cates M.E., Rofe C.J., and Smeulders J.B.A.F. A study of the spurt effect in wormlike micelles using nuclear-magnetic-resonance microscopy. J. Phys. II (France) 6 (1996) 375-393
14. Grand C., Arrault J., and Cates M.E. Slow transients and metastability in wormlike micelle rheology. J. Phys. II (France) 7 (1997) 1071-1086
15. Berret J.F., Roux D.C., Porte G., and Lindner P. Shear-induced isotropic-to-nematic phase-transition in equilibrium polymers. Europhys. Lett. 25 (1994) 521-526
16. Schmitt V., Lequeux F., Pousse A., and Roux D. Flow behavior and shear-induced transition near an isotropic-nematic transition in equibrium polymers. Langmuir 10 (1994) 955-961
17. Cappelaere E., Berret J.F., Decruppe J.P., Cressely R., and Lindner P. Rheology, birefringence, and small-angle neutron scattering in a charged micellar system: evidence of a shear-induced phase transition. Phys. Rev. E 56 2 (1997) 1869-1878
18. Makhloufi R., Decruppe J.P., Aitali A., and Cressely R. Rheooptical study of worm-like micelles undergoing a shear banding flow. Europhys. Lett. 32 3 (1995) 253-258
19. Berret J.F., Porte G., and Decruppe J.P. Inhomogeneous shear rows of wormlike micelles: a master dynamic phase diagram. Phys. Rev. E 55 2 (1997) 1668-1676
20. Diat O., Roux D., and Nallet F. Effect of shear on a lyotropic lamellar phase. J. Phys. II (France) 3 (1993) 1427-1452
21. Wilkins G.M.H., and Olmsted P.D. Vorticity banding during the lamellar-to-onion transition in a lyotropic surfactant solution in shear flow. Eur. Phys. J. E 21 (2006) 133-143
22. Bonn D., Meunier J., Greffier O., Alkahwaji A., and Kellay H. Bistability in non-Newtonian flow: rheology of lyotropic liquid crystals. Phys. Rev. E 58 2 PtB (1998) 2115-2118
23. Salmon J.B., Manneville S., and Colin A. Shear banding in a lyotropic lamellar phase. I. Time-averaged velocity profiles. Phys. Rev. E 68 5 (2003) art. no. 051503
24. Salmon J.B., Manneville S., and Colin A. Shear banding in a lyotropic lamellar phase. II. Temporal fluctuations. Phys. Rev. E 68 5 (2003) art. no. 051504
25. Manneville S., Salmon J.B., and Colin A. A spatio-temporal study of rheo-oscillations in a sheared lamellar phase using ultrasound. Eur. Phys. J. E 13 2 (2004) 197-212
26. Pujolle-Robic C., and Noirez L. Observation of shear-induced nematic-isotropic transition in side-chain liquid crystal polymers. Nature 409 (2001) 167-171
27. Lettinga M.P., and Dhont J.K.G. Non-equilibrium phase behaviour of rod-like viruses under shear flow. J. Phys. Condens. Matter 16 (2004) S3929-S3939
28. Dhont J.K.G., and Briels W.J. Inhomogeneous suspensions of rigid rods in flow. J. Chem. Phys. 118 (2003) 1466-1478
29. Berret J.F., and Serero Y. Evidence of shear-induced fluid fracture in telechelic polymer networks. Phys. Rev. Lett. (2001) 8704
30. Coussot P., Raynaud J.S., Bertrand F., Moucheront P., Guilbaud J.P., Huynh H.T., Jarny S., and Lesueur D. Coexistence of liquid and solid phases in flowing soft-glassy materials. Phys. Rev. Lett. 88 21 (2002) art. no. 218301
31. Holmes W.M., Callaghan P.T.., Vlassopoulos D., and Roovers J. Shear banding phenomena in ultrasoft colloidal glasses. J. Rheol. 48 (Sep 2004) 1085-1102
32. Rogers S.A., Vlassopoulos D., and Callaghan P.T.. Aging, yielding, and shear banding in soft colloidal glasses. Phys. Rev. Lett. 100 (Mar 2008) 128304
33. Hilliou L., and Vlassopoulos D. Time-periodic structures and instabilities in shear-thickening polymer solutions. Ind. Eng. Chem. Res. 41 25 (2002) 6246-6255
34. Chen L.B., Zukoski C.F., Ackerson B.J., Hanley H.J.M., Straty G.C., Barker J., and Glinka C.J. Structural-changes and orientational order in a sheared colloidal suspension. Phys. Rev. Lett. 69 (1992) 688-691
35. Holmes W.M.., Lopez-Gonzalez M.R.., and Callaghan P.T.. Fluctuations in shear-banded flow seen by nmr velocimetry. Europhys. Lett. 64 (Oct 2003) 274-280
36. Lopez-Gonzalez M.R.., Holmes W.M.., Callaghan P.T.., and Photinos P.J.. Shear banding fluctuations and nematic order in wormlike micelles. Phys. Rev. Lett. 93 (Dec 2004) 268302
37. Bandyopadhyay R., Basappa G., and Sood A.K. Observation of chaotic dynamics in dilute sheared aqueous solutions of ctat. Phys. Rev. Lett. 84 (2000) 2022-2025
38. Ganapathy R., and Sood A.K. Intermittency route to rheochaos in wormlike micelles with flow-concentration coupling. Phys. Rev. Lett. 96 (2006) 108301
39. Hu Y.T., Boltenhagen P., and Pine D.J. Shear thickening in low-concentration solutions of wormlike micelles. I. Direct visualization of transient behavior and phase transitions. J. Rheol. 42 5 (1998) 1185-1208
40. Bandyopadhyay R., and Sood A.K. Chaotic dynamics in shear-thickening surfactant solutions. Europhys. Lett. 56 (2001) 447-453
41. Wheeler E.K., Fischer P., and Fuller G.G. Time-periodic flow induced structures and instabilities in a viscoelastic surfactant solution. J. Non-Newton. Fluid Mech. 75 (1998) 193-208
42. Herle V., Fischer P., and Windhab E.J. Stress driven shear bands and the effect of confinement on their structures-a rheological, flow visualization, and Rheo-SALS study. Langmuir 21 (2005) 9051-9057
43. Fischer P. Time dependent flow in equimolar micellar solutions: transient behaviour of the shear stress and first normal stress difference in sheer induced structures coupled with flow instabilities. Rheol. Acta 39 (2000) 234-240
44. Azzouzi H., Decruppe J.P., Lerouge S., and Greffier O. Temporal oscillations of the shear stress and scattered light in a shear-banding-shear-thickening micellar solution. Eur. Phys. J. E 17 (2005) 507-514
45. Decruppe J.P., Greffier O., Manneville S., and Lerouge S. Local velocity measurements in heterogeneous and time-dependent flows of a micellar solution. Phys. Rev. E 73 (2006) 061509
46. Salmon J.-B., Colin A., and Roux D. Dynamical behavior of a complex fluid near an out-of-equilibrium transition: approaching simple rheological chaos. Phys. Rev. E 66 3 (2002) art. no. 031505
47. Lerouge S., Argentina M., and Decruppe J.P. Interface instability in shear-banding flow. Phys. Rev. Lett. 96 (2006) 088301
48. Lerouge S., Fardin M.A.., Argentina M., Gregoire G., and Cardoso O. Interface dynamics in shear-banding flow of giant micelles. Soft Matter 4 (2008) 1808-1819
49. Fardin M.A.., Lasne B., Cardoso O., Gregoire G., Argentina M., Decruppe J.P.., and Lerouge S. Taylor-like vortices in shear-banding flow of giant micelles. Phys. Rev. Lett. 103 (July 2009) 028302
50. Fielding S.M. Linear instability of planar shear banded flow. Phys. Rev. Lett. 95 (2005) 134501
51. Wilson H.J., and Fielding S.M. Linear instability of planar shear banded flow of both diffusive and non-diffusive Johnson-Segalman fluids. J. Non-Newton. Fluid Mech. 138 (2006) 181-196
52. Fielding S.M.. Vorticity structuring and velocity rolls triggered by gradient shear bands. Phys. Rev. E 76 (July 2007) 016311
53. Hinch E.J., Harris O.J., and Rallison J.M. The instability mechanism for 2 elastic liquids being coextruded. J. Non-Newton. Fluid Mech. 43 (1992) 311-324
54. Larson R.G., Shaqfeh E.S.G., and Muller S.J. A purely elastic instability in taylor-couette flow. J. Fluid Mech. 218 (1990) 573-600
55. Becu L., Anache D., Manneville S., and Colin A. Evidence for three-dimensional unstable flows in shear-banding wormlike micelles. Phys. Rev. E (2007) 76
56. Nghe P., Degre G., Tabeling P., and Ajdari A. High shear rheology of shear banding fluids in microchannels. Appl. Phys. Lett. 93 (Nov 2008) 204102
57. Masselon C., Salmon J.B.., and Colin A. Nonlocal effects in flows of wormlike micellar solutions. Phys. Rev. Lett. 100 (Jan 2008) 038301
58. P. Nghe, S.M. Fielding, P. Tabeling, A. Ajdari, Microchannel flow of a shear banding fluid: enhanced edge effect and interfacial instability, available at http://arxiv.org/abs/0909.1306.
59. Johnson M.W., and Segalman D. Model for viscoelastic fluid behavior which allows non-affine deformation. J. Non-Newton. Fluid Mech. 2 (1977) 255-270
60. Olmsted P.D., Radulescu O., and Lu C.Y.D. Johnson-Segalman model with a diffusion term in cylindrical Couette flow. J. Rheol. 44 (2000) 257-275
61. Lu C.Y.D., Olmsted P.D., and Ball R.C. Effects of nonlocal stress on the determination of shear banding flow. Phys. Rev. Lett. 84 (2000) 642-645
62. Fielding S.M. Role of inertia in nonequilibrium steady states of sheared binary fluids. Phys. Rev. E 77 (2008) 021504
63. Adams J.M.., Fielding S.M.., and Olmsted P.D.. The interplay between boundary conditions and flow geometries in shear banding: hysteresis, band configurations, and surface transitions. J. Non-Newton. Fluid Mech. 151 (May 2008) 101-118
64. Cook L.P.., and Rossi L.R.. Slippage and migration in models of dilute wormlike micellar solutions and polymeric fluids. J. Non-Newton. Fluid Mech. 116 (January 2004) 347-369
65. Fielding S.M., and Olmsted P.D. Flow phase diagrams for concentration-coupled shear banding. Eur. Phys. J. E 11 (2003) 65-83
66. Fielding S.M., and Olmsted P.D. Nonlinear dynamics of an interface between shear bands. Phys. Rev. Lett. (2006) 96